What does pumping lemma mean?
Definitions for pumping lemma
pump·ing lem·ma
This dictionary definitions page includes all the possible meanings, example usage and translations of the word pumping lemma.
Wiktionary
pumping lemmanoun
A lemma which states that for a language to be a member of a language class any sufficiently long string in the language contains a section that can be removed or repeated any number of times with the resulting string remaining in the language, used to determine if a particular language is in a given language class (e.g. not regular).
Wikidata
Pumping lemma
In the theory of formal languages in computability theory, a pumping lemma or pumping argument states that, for a particular language to be a member of a language class, any sufficiently long string in the language contains a section, or sections, that can be removed, or repeated any number of times, with the resulting string remaining in that language. The proofs of these lemmas typically require counting arguments such as the pigeonhole principle. The two most important examples are the pumping lemma for regular languages and the pumping lemma for context-free languages. Ogden's lemma is a second, stronger pumping lemma for context-free languages. These lemmas can be used to determine if a particular language is not in a given language class. However, they cannot be used to determine if a language is in a given class, since satisfying the pumping lemma is a necessary, but not sufficient, condition for class membership.
Numerology
Chaldean Numerology
The numerical value of pumping lemma in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of pumping lemma in Pythagorean Numerology is: 5
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"pumping lemma." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/pumping+lemma>.
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